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Finding the Third Proportional to 490,458 and 659,097

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Solution

The third proportional to 490,458 and 659,097 is: 885,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,458 : 659,097 = 659,097 : x
  2. Step 2: Convert to fraction form
    490,458/659,097 = 659,097/x
  3. Step 3: Cross multiply
    490,458x = 659,097 × 659,097
  4. Step 4: Simplify right side
    490,458x = 434,408,855,409
  5. Step 5: Solve for x
    x = 434,408,855,409/490,458
  6. Step 6: Final answer
    x = 885,720.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.